Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: Exercise

An electric field is uniform and acts along $+x$ direction in the region of positive $x$. It is also uniform with the same magnitude but acts in $-x$ direction in the region of negative $x$. The value of the field is $E=200 \mathrm{N}/\mathrm{C}$ for $x>0$ and $E=-200 \mathrm{N}/\mathrm{C}$ for $x<0$. A right circular cylinder of length $20 \mathrm{cm}$ and radius $5 \mathrm{cm}$ has its centre at the origin and its axis along the $x-$axis so that one flat face is at $x=+10 \mathrm{cm}$ and the other is at $x=-10 \mathrm{cm}$. Find the net outward flux through the cylinder.

Classify the materials on the basis of charge conduction.

Explain why two lines of force cannot intersect at a point.

Define electric field intensity. Write its SI unit. Write the magnitude and direction of electric field intensity due to an electric dipole of length $2a$ at the midpoint of the line joining the two charges.

The identical point charges, $q$ each, are kept $2 \mathrm{m}$ apart in air. A third point charge $Q$ of unknown magnitude and sign is placed on the line joining the charges such that the system remains in equilibrium. Find the position and nature of $Q$.

Two particles A and B having charges $8\times {10}^{-6}$ coulomb and $-2\times {10}^{-6}$ coulomb respectively are held fixed with separation of $20 \mathrm{cm}$. Where should a third charged particle be placed so that it does not experience any electric force?

In which orientation,a dipole placed in a uniform electric field is in (i) stable equilibrium (ii) unstable equilibrium?

Define the term 'electric dipole moment'. Give its unit.

Derive an expression for the maximum torque acting on an electric dipole when held in a uniform electric field.